Dynamics of stage-structure predator-prey systems under density-dependent effect and mortality
Tài liệu tham khảo
Abrams, 2015, The hydra effect is no myth, New Scientist, 226, 28, 10.1016/S0262-4079(15)30463-2
Abrams, 2005, The effect of adaptive change in the prey on the dynamics of an exploited predator population, Can. J. Fish. Aquat. Sci., 62, 758, 10.1139/f05-051
Abrams, 2005, The impact of mortality on predator population size and stability in systems with stage-structured prey, Theor. Popul. Biol., 68, 253, 10.1016/j.tpb.2005.05.004
Cortez, 2016, Hydra effects in stable communities and their implications for system dynamics, Ecology, 97, 1135, 10.1890/15-0648.1
Costa, 2018, Multiple hydra effect in a predator–prey model with Allee effect and mutual interference in the predator, Ecol. Model., 373, 22, 10.1016/j.ecolmodel.2018.02.005
Costa, 2017, Prey dynamics under generalist predator culling in stage structured models, Math. Biosci., 285, 68, 10.1016/j.mbs.2016.12.005
Holling, 1965, The functional response of predators to prey density and its role in mimicry and population regulation, Mem. Entomol. Soc. Can., 97, 5, 10.4039/entm9745fv
Huang, 2010, Permanence of periodic predator–prey system with two predators and stage structure for prey, Nonlinear Anal. Real World Appl., 11, 503, 10.1016/j.nonrwa.2009.01.001
Kar, 2013, Impacts of maximum sustainable yield policy to preypredator systems, Ecol. Model., 250, 134, 10.1016/j.ecolmodel.2012.11.015
Li, 2011, Dynamics of the density dependent predator–prey system with Beddington–DeAngelis functional response, J. Math. Anal. Appl., 374, 644, 10.1016/j.jmaa.2010.08.029
Liu, 2009, Dynamical behavior in a stage-structured differential-algebraic prey–predator model with discrete time delay and harvesting, J. Comput. Appl. Math., 231, 612, 10.1016/j.cam.2009.04.011
Liu, 2011, Global stability of stage-structured predator–prey models with Beddington–DeAngelis functional response, Commun. Nonlinear Sci. Numer. Simul., 16, 3792, 10.1016/j.cnsns.2010.12.026
Liz, 2012, The hydra effect, bubbles, and chaos in a simple discrete population model with constant effort harvesting, J. Math. Biol., 65, 997, 10.1007/s00285-011-0489-2
Ma, 2008, Permanence of a predator–prey system with stage structure and time delay, Appl. Math. Comput., 201, 65
Matsuda, 2004, Effects of predator prey interactions and adaptive change on sustainable yield, Can. J. Fish. Aquat. Sci., 61, 175, 10.1139/f03-147
Naji, 2016, The dynamical analysis of a prey-predator model with a refuge-stage structure prey population, Int. J. Differ. Equ., 2016
Neverova, 2018, Mode change in the dynamics of exploited limited population with age structure, Nonlinear Dyn., 94, 827, 10.1007/s11071-018-4396-6
Neverova, 2019, Dynamics of a discrete-time stage-structured predator–prey system with Holling type II response function, Nonlinear Dyn., 98, 427, 10.1007/s11071-019-05202-3
Pal, 2019, Hydra effects in stable food chain models, Biosystems, 185, 104018, 10.1016/j.biosystems.2019.104018
Schröder, 2014, When less is more: positive population-level effects of mortality, Trends Ecol. Evol., 29, 614, 10.1016/j.tree.2014.08.006
Sieber, 2012, The hydra effect in predator–prey models, J. Math. Biol., 64, 341, 10.1007/s00285-011-0416-6
Wang, 1997, A predator-prey system with stage-structure for predator, Comput. Math. Appl., 33, 83, 10.1016/S0898-1221(97)00056-4
Wei, 2016, Hopf bifurcation and stability for predator–prey systems with Beddington–DeAngelis type functional response and stage structure for prey incorporating refuge, Appl. Math. Model., 40, 126, 10.1016/j.apm.2015.04.042
Weide, 2019, Hydra effect and paradox of enrichment in discrete-time predator-prey models, Mat. Biosci., 310, 120, 10.1016/j.mbs.2018.12.010
Zhang, 2000, The stage-structured predator–prey model and optimal harvesting policy, Math. Biosci., 168, 201, 10.1016/S0025-5564(00)00033-X